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124244656144 = 2474383310823
BaseRepresentation
bin111001110110110001…
…1110000000000010000
3102212200211020111002021
41303231203300000100
54013423112444034
6133024402101224
711655620103130
oct1635543600020
9385624214067
10124244656144
1148767962104
12200b534a814
13b9406ca01b
146028d84ac0
1533729566b4
hex1ced8f0010

124244656144 has 80 divisors (see below), whose sum is σ = 284903764992. Its totient is φ = 51382606464.

The previous prime is 124244656139. The next prime is 124244656183. The reversal of 124244656144 is 441656442421.

124244656144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 124244656144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244317 + ... + 555139.

Almost surely, 2124244656144 is an apocalyptic number.

124244656144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124244656144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142451882496).

124244656144 is an abundant number, since it is smaller than the sum of its proper divisors (160659108848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

124244656144 is a wasteful number, since it uses less digits than its factorization.

124244656144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310964 (or 310958 counting only the distinct ones).

The product of its digits is 737280, while the sum is 43.

The spelling of 124244656144 in words is "one hundred twenty-four billion, two hundred forty-four million, six hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 83 86 112 166 172 301 332 344 581 602 664 688 1162 1204 1328 2324 2408 3569 4648 4816 7138 9296 14276 24983 28552 49966 57104 99932 199864 310823 399728 621646 1243292 2175761 2486584 4351522 4973168 8703044 13365389 17406088 25798309 26730778 34812176 51596618 53461556 93557723 103193236 106923112 180588163 187115446 206386472 213846224 361176326 374230892 412772944 722352652 748461784 1109327287 1444705304 1496923568 2218654574 2889410608 4437309148 7765291009 8874618296 15530582018 17749236592 31061164036 62122328072 124244656144